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121744944 = 2435173181
BaseRepresentation
bin1110100000110…
…10111000110000
322111002021200000
413100122320300
5222131314234
620025230000
73005546346
oct720327060
9274067600
10121744944
11627a3862
1234932300
131c2b8239
1412251996
15aa4c899
hex741ae30

121744944 has 120 divisors (see below), whose sum is σ = 357341712. Its totient is φ = 40124160.

The previous prime is 121744943. The next prime is 121744999. The reversal of 121744944 is 449447121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121744899 and 121744908.

It is not an unprimeable number, because it can be changed into a prime (121744943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672534 + ... + 672714.

Almost surely, 2121744944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121744944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178670856).

121744944 is an abundant number, since it is smaller than the sum of its proper divisors (235596768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121744944 is a wasteful number, since it uses less digits than its factorization.

121744944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 121744944 is about 11033.8091337489. The cubic root of 121744944 is about 495.6216981864.

The spelling of 121744944 in words is "one hundred twenty-one million, seven hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 181 216 243 324 346 362 432 486 519 543 648 692 724 972 1038 1086 1296 1384 1448 1557 1629 1944 2076 2172 2768 2896 3114 3258 3888 4152 4344 4671 4887 6228 6516 8304 8688 9342 9774 12456 13032 14013 14661 18684 19548 24912 26064 28026 29322 31313 37368 39096 42039 43983 56052 58644 62626 74736 78192 84078 87966 93939 112104 117288 125252 168156 175932 187878 224208 234576 250504 281817 336312 351864 375756 501008 563634 672624 703728 751512 845451 1127268 1503024 1690902 2254536 2536353 3381804 4509072 5072706 6763608 7609059 10145412 13527216 15218118 20290824 30436236 40581648 60872472 121744944